With this two-day conference, we aim at bringing together scientists working on one-dimensional and two-dimensional quantum systems. Such systems, dubbed ``low-dimensional'' by experts, are of fundamental importance in modern quantum physics, material science, and quantum chemistry. In contrast to the more conventional three-dimensional materials, low-dimensional systems give rise to exotic quantum phenomena, thanks to the enhancement of quantum effects in lower dimensionality. These exotic phenomena include : the emergence of relativistic electrons in graphene, the existence of two-dimensional ``topological insulators'' that are insulators in the bulk but perfect conductors at the edge, or the appearance of ``non-abelian'' particles in superconductors or in electronic gases under very strong magnetic fields that could give rise to robust platforms for topological quantum computation.

Booklet of abstracts